A boat travels 105 km in 2 hours (with a constant speed) how far can it travel in 4 hours (with the same speed)?
1 answer:
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Answer:
(3,9)
Step-by-step explanation:
So I drew a right triangle with the line segment A(1,-9) to C as the hypotenuse. This line segment does contain point B(2,0). This is shown in the picture.
We want to find a point C so that AB to BC has a ratio of 1:1. So this means B is the midpoint really.
So if we averaged the endpoints of the line segment it would equate to point B.
That is:
and
Multiply both sides by 2:
and
The first equation can be solved by subtracting 1 on both sides giving .
The second equation can be solved by adding 9 on both sides giving
.
Point C is (3,9).
